0=4x^2-35x+49

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Solution for 0=4x^2-35x+49 equation: 


Simplifying
0 = 4x2 + -35x + 49

Reorder the terms:
0 = 49 + -35x + 4x2

Solving
0 = 49 + -35x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -49 = -49
-49 + 35x + -4x2 = 49 + -35x + 4x2 + -49 + 35x + -4x2

Reorder the terms:
-49 + 35x + -4x2 = 49 + -49 + -35x + 35x + 4x2 + -4x2

Combine like terms: 49 + -49 = 0
-49 + 35x + -4x2 = 0 + -35x + 35x + 4x2 + -4x2
-49 + 35x + -4x2 = -35x + 35x + 4x2 + -4x2

Combine like terms: -35x + 35x = 0
-49 + 35x + -4x2 = 0 + 4x2 + -4x2
-49 + 35x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-49 + 35x + -4x2 = 0

Factor a trinomial.
(-7 + x)(7 + -4x) = 0


Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

Solving
-7 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + x = 0 + 7
x = 0 + 7

Combine like terms: 0 + 7 = 7
x = 7

Simplifying
x = 7

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {7, 1.75}

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